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Finding the Fourth Proportional to 13,011.90, 17,952 and 7,345.98

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Solution

The fourth proportional to 13,011.90, 17,952 and 7,345.98 is: 10,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.90 : 17,952 = 7,345.98 : x
  2. Step 2: Convert to fraction form
    13,011.90/17,952 = 7,345.98/x
  3. Step 3: Cross multiply
    13,011.90x = 17,952 × 7,345.98
  4. Step 4: Simplify right side
    13,011.90x = 131,875,032.96
  5. Step 5: Solve for x
    x = 131,875,032.96/13,011.90
  6. Step 6: Final answer
    x = 10,134.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.